DG quotients of DG categories

Details DG quotients of DG categories DG quotients of DG categories

2002-10-08

arxiv.org/abs/math/0210114v7

Mathematics

K-Theory and Homology

50 pages, Latex; an error in the proof of Lemma 13.5 is corrected

Scientific paper

Keller introduced a notion of quotient of a differential graded category modulo a full differential graded subcategory which agrees with Verdier's notion of quotient of a triangulated category modulo a triangulated subcategory. This work is an attempt to further develop his theory. More than a half of the text is devoted to an overview of "well known" definitions and results. As a result, the e-print is essentially self-contained.

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